Bifurcation Analysis: Principles, Applications and Synthesis by I. Prigogine, G. Nicolis (auth.), M. Hazewinkel, R. PDF

By I. Prigogine, G. Nicolis (auth.), M. Hazewinkel, R. Jurkovich, J. H. P. Paelinck (eds.)

ISBN-10: 9400962398

ISBN-13: 9789400962392

ISBN-10: 940096241X

ISBN-13: 9789400962415

Bifurcation idea has made a really quickly upswing within the final fifteen years. approximately conversing it generalises to dynamic platforms the pos­ sibility of a number of strategies, possible already acknowledged in static structures - actual, chemical, social - while working faraway from their equilibrium states. It so occurred that various employees individuals of the Erasmus college Rotterdam have been pondering alongside these traces approximately yes elements in their disciplines. To have a couple of experts and strength "fans" convene to debate quite a few points of bifurcation­ al pondering, appeared a common improvement. The ensuing papers have been judged to be of curiosity to a bigger public, and as such are logically regrouped during this quantity, one in a chain of reports caused by the actions of the steerage Committee on Interdisciplinary reports of the Erasmus college, Rotterdam. even supposing the quantity could be multidisciplinary instead of interdisciplinary - the interdisciplinary point being purely "latent" -, as a "soft" interdisciplinary workout (the software of formal constructions of 1 self-discipline to a different) it has a correct to interdisciplinary life! This booklet couldn't were released and not using a beneficiant supply of the collage beginning of the Erasmus collage Rotterdam, which allowed the convention to be held and the ensuing papers to be released; that generosity is gratefully acknowledged.

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Since then it hg~ been shown by eminent scientists, such as A. Einstein (1926) that the Brownian movement is performed by bodies of miscrosc'opically visible size suspended in a liquid on account of the molecular motions of heat and has nothing to do with life; on the contrary, the study of Brownian motion contributed substantially to the development of physics and chemistry. The next example of vitalism is much more importartt. and its influence is still present. Before chemistry was engaged in organic material, it was generally accepted that this material could never be synthesized in vitro, as a vital force was thought to be necessary.

This programme was carried out by the eighteenth century chemists, especially by the founders of modern chemistry A. Lavoisier and by J. Dalton. It is to their credit that nowadays chemists think in terms of simple substances and real entities which preserve their individuality as corpuscles throughout many chemical vicissitudes; transmutation of elements has lain outside the limits of chemistry since alchemy failed. It is interesting to note that Lavoisier's experiments on a biological system, the alcoholic fermentation of glucose, gave rise to his law of conservation of mass.

The usefulness of the wave character of the electron was fully proved when the nature of the chemical bond, and the structure and reactivity of molecules, could be better explained although often only a qualitative treatment of simple molecules was possible. N. Bohr (1933)11) paid attention to the application of quantum theory to biological problems on the basis of the postulate that the existence of life must be considered as an elementary fact that cannot be explained. Bohr concluded we would doubtlessly kill an animal if we pushed the investigations so far as to be able to describe the role played by single atoms in a vital function.

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Bifurcation Analysis: Principles, Applications and Synthesis by I. Prigogine, G. Nicolis (auth.), M. Hazewinkel, R. Jurkovich, J. H. P. Paelinck (eds.)

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